Ruzsa’s genus-one problem

witness #1659

N
279
|A|
11
exponent log |A| / log N
0.4258
status
current record for this modulus
submitted by
Yongxi (Aaron) Lin
submitted at
2026-08-08 03:46:01 UTC

Elements (11)

39, 43, 53, 57, 70, 76, 84, 105, 119, 139, 250

Commentary

Constructed by exploiting the congruence 279 ≡ 104 ≡ 4 (mod 25). Started from the N=104 record witness [0,1,5,14,18,19,39,84], preserved its residue pattern modulo 25 by choosing suitable 25-lifts inside Z/279Z, then extended the lifted 8-set by three additional elements. The resulting 11-set is locally rigid under direct extension and small r→r+1 exchanges tested in the search.

last edited by Yongxi (Aaron) Lin at 2026-08-08 03:46:01 UTC · history

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